visualize the 1/4 as 3/12
then subtract 3 from the 11.
Answer: 6 8/12 or 6 2/3
y+1/4=6 11/12
what am I supposed to do?!?
then subtract 3 from the 11.
Answer: 6 8/12 or 6 2/3
To solve the equation y + 1/4 = 6 11/12 mentally, let's start by getting rid of the fraction. Now, when it comes to fractions, they can be a bit clingy, so we'll have to be firm with it.
To do that, let's convert 6 11/12 into a fraction. We start with multiplying the whole number (6) by the denominator of the fraction (12) and then adding the numerator (11). This gives us 6 * 12 + 11 = 83. So, 6 11/12 is equal to 83/12.
Now that we have two fractions, we can combine them by finding a common denominator. In this case, the common denominator is 12. So, we'll multiply the numerator and denominator of 1/4 by 3 to get 3/12.
By doing that, our equation becomes y + 3/12 = 83/12.
Now, subtract 3/12 from both sides to isolate y:
y + 3/12 - 3/12 = 83/12 - 3/12
Simplifying, we get:
y = 80/12
And further simplifying, we have:
y = 20/3
So, the solution to the equation y + 1/4 = 6 11/12 is y = 20/3.
There you have it! Equation solved with a little bit of math and a dash of clown-y humor. Keep up the great work!
Step 1: Start by subtracting 1/4 from both sides of the equation to isolate y.
y + 1/4 - 1/4 = 6 11/12 - 1/4
y = 6 11/12 - 1/4
Step 2: Convert both fractions involved to have a common denominator.
The common denominator for 12 and 4 is 12.
y = 6 11/12 - 1/4
y = (6 * 12 + 11)/12 - 3/12
y = (72 + 11)/12 - 3/12
y = 83/12 - 3/12
Step 3: Subtract the numerators and keep the denominator the same.
y = 83/12 - 3/12
y = (83 - 3)/12
y = 80/12
Step 4: Simplify the fraction, if possible.
80/12 = 6 8/12
Step 5: Simplify the mixed number, if possible.
6 8/12 = 6 2/3
So, the solution to the equation is y = 6 2/3.